Bitwise NOT Operation:
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The bitwise NOT operation (~) is a fundamental binary operation that inverts all the bits of a number. It flips each bit from 0 to 1 and from 1 to 0 in the binary representation of the number.
The calculator performs a simple bitwise NOT operation:
Where:
Explanation: The operation works by converting the number to its binary representation (typically 32-bit), inverting all bits, and then converting back to a signed integer.
Details: Bitwise operations are fundamental in low-level programming, hardware manipulation, cryptography, and optimization algorithms. The NOT operation is particularly useful for creating masks and flipping bit states.
Tips: Enter any integer value (positive or negative). The calculator will display the result of the bitwise NOT operation on that number.
Q1: Why does ~5 give -6?
A: This is because of two's complement representation. For example, 5 in binary is 00000101, and its NOT is 11111010, which represents -6 in two's complement.
Q2: What's the difference between logical NOT and bitwise NOT?
A: Logical NOT (!) returns a boolean (true/false) while bitwise NOT (~) operates on each bit of the number's binary representation.
Q3: Can I use this with floating-point numbers?
A: No, bitwise operations only work with integers. Floating-point numbers must be converted to integers first.
Q4: What's the practical use of bitwise NOT?
A: Common uses include creating bit masks, toggling flags, and certain optimization techniques in low-level programming.
Q5: How does this work with negative numbers?
A: The operation works the same way - all bits are inverted, including the sign bit in two's complement representation.